QuestionX Do Homework - Homework 1B X P Do Homework - Homework 6B X Desmos | Scientific Calculator X CS Testing Center | Chattanooga x + on.com/Student/PlayerHomework.aspx?homeworkId=678248859&questionid=7&flushed=false&cid=7910058&back=https://mylab.pearson.com/Student/DoAssignments.aspx?wl_access_status=opted-in&&wl_access_date=2024-10-14T13:... oductory Statistics 6B (4.2-4.3) K < Question 16, 4.3.X1 Part 1 of 3 K'lyah Harris 12/03/ HW Score: 82.5%, 13.2 of 16 points O Points: 0 of 1 The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r = -0.969. The least-squares regression line treating explanatory variable and miles per gallon as the response variable is y = -0.0060x + 41.3516. Complete parts (a) through (c) below. Click the icon to view the data table. (a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon? The proportion of the variability in miles per gallon explained by the relation between freight of the car and miles per gallon is %. (Round to one decimal place as needed.)
Studdy Solution
STEP 1
1. The linear correlation coefficient is given as .
2. The proportion of variability explained by the regression is given by the coefficient of determination, .
STEP 2
1. Calculate the coefficient of determination .
2. Convert to a percentage.
3. Round the percentage to one decimal place.
STEP 3
Calculate the coefficient of determination :
STEP 4
Convert to a percentage:
STEP 5
Round the percentage to one decimal place:
The proportion of the variability in miles per gallon explained by the relation between the weight of the car and miles per gallon is .
The solution is:
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